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Mathematical modelling of ventilation–perfusion mismatch in lung function

Payal SinghDepartment of Applied Sciences and Humanities, Faculty of Engineering & Technology, Parul University, Vadodara, Gujarat, 391760, IndiaSachin PawarDepartment of Plastic and Reconstructive Surgery, Krishna Institute of Medical Sciences, Krishna Vishwa Vidyapeeth (Deemed to be University), Karad, Maharashtra, 415539, IndiaVinay BoregowdaDepartment of Electronics and Communication Engineering, Faculty of Engineering and Technology, JAIN (Deemed-to-be University), Bangalore, Karnataka, 562112, IndiaAashim DhawanCentre of Research Impact and Outcome (CRIO), Chitkara University, Rajpura, Punjab, 140417, IndiaFarhat AnjumSchool of Computer Science and Engineering, Rungta College of Engineering and Technology, Rungta International Skills University, Bhilai, Chhattisgarh, 490024, IndiaBobojonova MadrahimovnaDepartment of Biology, Urgench State University, Urgench, 220100, UzbekistanDilnoza AminovaDepartment of Pedagogy and Psixology, Termez University of Economics and Service, Termez, Uzbekistan

2026en

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Annotatsiya

Impaired pulmonary gas exchange in respiratory diseases is caused by a large extent by the physiological mechanism of ventilation-perfusion (V/Q) mismatch.This study is aimed at developing a mathematical modelling framework to quantify regional ventilation, pulmonary perfusion and oxygen transport by coupled nonlinear differential equations.A novel model called Adaptive Ventilation-Perfusion Coupling Model (AVPCM) is proposed which is numerically solved using the Finite Difference Method (FDM) with an implicit Crank-Nicolson time integration scheme, which guarantees stability and accuracy of the calculations.The accuracy at which the simulation results achieved prediction of V/Q mismatch (92.8%), estimation of oxygen saturation (91.3%), prediction of the regional ventilation (89.7%) and the mean prediction error (13.5%) were lower than that of a conventional compartmental

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DOI: 10.47974/jim-2806

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